5090567040 has 1024 divisors, whose sum is σ = 21714739200. Its totient is φ = 1114767360.

The previous prime is 5090567033. The next prime is 5090567063. The reversal of 5090567040 is 407650905.

5090567040 is a `hidden beast` number, since 5 + 0 + 90 + 567 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5090566986 and 5090567004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118385259 + ... + 118385301.

It is an arithmetic number, because the mean of its divisors is an integer number (21205800).

Almost surely, 2^5090567040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5090567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857369600).

5090567040 is an abundant number, since it is smaller than the sum of its proper divisors (16624172160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5090567040 is a wasteful number, since it uses less digits than its factorization.

5090567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5090567040 is about 71348.2097883332. The cubic root of 5090567040 is about 1720.2387265545.

The spelling of 5090567040 in words is "five billion, ninety million, five hundred sixty-seven thousand, forty".